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Free vibration of cellular structures using continuum modes

Free vibration of cellular structures using continuum modes
Free vibration of cellular structures using continuum modes
This paper is concerned with free vibration of elastic structures made up of cellular material. A network of cells in a plane is considered. Cell walls are modelled as beams. The problem of calculating the first few natural frequencies and the corresponding mode shapes is addressed. An approximate method based on the assumption that cellular solids behave as a continuum for low-frequency dynamics is presented. A direct application of the assumed modes method incorporating continuum modes as basis leads to difficulties. The source of this difficulty is identified. A method that uses inverse power iterations is proposed to pre-condition the assumed modes appropriately. The proposed method of using continuum modes as basis for model order reduction leads to substantial computational saving while maintaining good accuracy. Two examples are given to illustrate the proposed procedure of using the continuum modes in conjunction with pre-conditioning.
0022-460X
77-100
Banerjee, Sourish
588180d1-4751-4f9c-b47d-d71f975c1157
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Banerjee, Sourish
588180d1-4751-4f9c-b47d-d71f975c1157
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e

Banerjee, Sourish and Bhaskar, Atul (2005) Free vibration of cellular structures using continuum modes. Journal of Sound and Vibration, 287 (1-2), 77-100. (doi:10.1016/j.jsv.2004.10.051).

Record type: Article

Abstract

This paper is concerned with free vibration of elastic structures made up of cellular material. A network of cells in a plane is considered. Cell walls are modelled as beams. The problem of calculating the first few natural frequencies and the corresponding mode shapes is addressed. An approximate method based on the assumption that cellular solids behave as a continuum for low-frequency dynamics is presented. A direct application of the assumed modes method incorporating continuum modes as basis leads to difficulties. The source of this difficulty is identified. A method that uses inverse power iterations is proposed to pre-condition the assumed modes appropriately. The proposed method of using continuum modes as basis for model order reduction leads to substantial computational saving while maintaining good accuracy. Two examples are given to illustrate the proposed procedure of using the continuum modes in conjunction with pre-conditioning.

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Published date: 2005

Identifiers

Local EPrints ID: 23360
URI: http://eprints.soton.ac.uk/id/eprint/23360
ISSN: 0022-460X
PURE UUID: 2b0c496e-de59-4cf9-a58f-b21ca61a92d2

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Date deposited: 16 Mar 2006
Last modified: 11 Nov 2019 19:34

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